Q1 of 24 Page 21

In each pair of triangles below, find matching pairs of sides and write their names.

In Δ ABC and Δ PQR,

(AB) = l(RQ) = 6 cm


∠A = ∠R = 50°


∠B = ∠Q = 70°


According to property,


If one side of a triangle and angle at its ends are equal to one side of another triangle and the angles at its ends, then the third angles are also equal and the sides opposite equal angle are equal.


In Δ ABC and Δ PQR,


BC is opposite ∠A and PQ is opposite ∠R


Also, AC is opposite ∠B and PR is opposite ∠Q


∴ BC = PQ


And AC = PR


Also, AB = RQ = 6 cm (given) opposite angle l anglee


More from this chapter

All 24 →
4

In the figure below, M is the midpoint of the line AB. Compute the other two angles of ∆ABC.

 5

In the figure below, the lines AB and CD are parallel and M is the midpoint of AB.


i) Computer the angles of ΔAMD, ΔMBC and ΔDCM?


ii) What is special about the quadrilaterals AMCD and MBCD?

 1

In each pair of triangles below, find matching pairs of sides and write their names.

 2

In the figure, AP and BQ equal and parallel are lines drawn at the ends of the line AB. The point of intersection of PQ and AB is marked as M.


i) Are the sides of Δ AMP equal to the sides of Δ BMQ? Why?


ii) What is special about the position of M on AB?


iii) Draw a line 5.5 centimeters long. Using a set square, locate the midpoint of this line.